The cost of painting four walls of a room whose width and height remains same is Rs. 640 at the rate of Rs. 8 per square metre. If the height of the room is 4 metres, what is the area of the floor?

The total area of the four walls is calculated by dividing the total painting cost by the rate per square meter, giving 640 divided by 8, which equals 80 square meters. The room has a width equal to its height, meaning the two end walls are squares, so the total wall area can be written as 2 times height times width plus 2 times height times length, or 2 times 4 times 4 plus 2 times 4 times length. Solving 80 equals 32 plus 8 times length gives a room length of 6 meters. The floor area is the length times the width, which is 6 times 4, yielding 24 square meters.

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